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210204402012 = 2232111933274609
BaseRepresentation
bin1100001111000100101…
…0001010000101011100
3202002120111200000110200
43003301022022011130
511420444311331022
6240322213503500
721121026636123
oct3036112120534
9662514600420
10210204402012
11811689a54a0
12348a5041b90
1316a8c475487
14a261450aba
15570425abac
hex30f128a15c

210204402012 has 72 divisors (see below), whose sum is σ = 579956548080. Its totient is φ = 63665118720.

The previous prime is 210204401971. The next prime is 210204402019.

210204402012 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 440 + 201 + 2 = 666.

210204402012 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2102044020123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210204402019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628164 + ... + 902772.

Almost surely, 2210204402012 is an apocalyptic number.

210204402012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210204402012 is an abundant number, since it is smaller than the sum of its proper divisors (369752146068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210204402012 is a wasteful number, since it uses less digits than its factorization.

210204402012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276563 (or 276558 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 210204 and 402012, that added together give a palindrome (612216).

The spelling of 210204402012 in words is "two hundred ten billion, two hundred four million, four hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1933 3866 5799 7732 11598 17397 21263 23196 34794 42526 63789 69588 85052 127578 191367 255156 274609 382734 549218 765468 823827 1098436 1647654 2471481 3020699 3295308 4942962 6041398 9062097 9885924 12082796 18124194 27186291 36248388 54372582 108745164 530819197 1061638394 1592457591 2123276788 3184915182 4777372773 5839011167 6369830364 9554745546 11678022334 17517033501 19109491092 23356044668 35034067002 52551100503 70068134004 105102201006 210204402012